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" If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 54
των John Playfair - 1833 - 333 σελίδες
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 σελίδες
...lines, one of which is divided into any number of parts; the re&angle contained by the two ftraight lines, is equal to the rectangles contained by the undivided line, and the feveral parts of the divided line. Let Book II. Let A and BC be two ftraight lines ; and let BC be...

The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 σελίδες
...lines, one of which is divided into any number of parts i the rectangle contained by the two ftraight lines, is equal to the rectangles contained by the undivided line, and the feveral parts of the divided line. P 3 Let; i i. 1. b 3. i, c 3i. i. LH Book II. Let A and BC be two...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 534 σελίδες
...divided line. K C Book II. ani b. 3. i. c. Ji. i. 34- i. f. 4j. f k. Ji i. Let A and BC be two ftraight lines ; and let BC be divided into any parts in the points D, E ; the rectangle contained by the ftraight lines A, BC is equal to v> f\ -pi f* the rectangle contained by A, BDi "*...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 σελίδες
...lines, one of which is divided into any number of parts ; the rectangle contained by the two ftraight lines, is equal to the rectangles contained by the undivided line, and the feveral parts of the divided line. D 2 Let J G L I • BOO FINI K II. TION DE S. Book • II. i b3....

The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - 1781 - 324 σελίδες
...lines, and one of them be cut into any number of fegments ; the rectangle contained by the two ftraight lines is equal to the rectangles contained by the undivided line and each of the fegments of the divided line. Let there be two ftraight lines A, BC , and let BC be cut...

The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 σελίδες
...undivided line, and the feveral parts cf the divided line. Let BOOK. II. . Let A and BC be two ftraight lines ; and let BC be divided into any parts in the points D, E ; the reftangle contained by the ftraight lines A, BC is equal to BD £ </ the reftangle contained by A,...

Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - 1804 - 468 σελίδες
...contained by the undivided line, and the feveral parts of the divided line. Let A and BC be two ftraight lines ; and let BC be divided into any parts in the points D, E ; the reftangle A.BC is equal to the feveral reftangles A.BD, A.DE, A.EC. From. the point B draw a JJ DEC...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 σελίδες
...lines, one of which is divided into any number of parts ; the rectangle contained by the two ftraight lines, is. equal to the rectangles contained by the undivided line, and the feveral parts of the divided line, . Book n. Book II. b. 3. I. e. 31. I. 34. a. 4$. i. b. 31. i. Let...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained...equal to the several rectangles' A.BD, A.DE, A.EC. all. 1." From the point B drawa -^ TV -tn rt BF at right angles to BC, and l>3. 1. make BG equalb to...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 σελίδες
...two straight lines, one of which is divided into any number of parts ; the rectangle contained by the two straight lines, is equal to the rectangles contained...undivided line and the several parts of the divided line. D K H Book II. Let A and BC be two straight lines ; and let BC be divided *— Y— - ' into any parts...




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